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Finding the Third Proportional to 89,762.06 and 132,909.75

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Solution

The third proportional to 89,762.06 and 132,909.75 is: 196,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,762.06 : 132,909.75 = 132,909.75 : x
  2. Step 2: Convert to fraction form
    89,762.06/132,909.75 = 132,909.75/x
  3. Step 3: Cross multiply
    89,762.06x = 132,909.75 × 132,909.75
  4. Step 4: Simplify right side
    89,762.06x = 17,665,001,645.06
  5. Step 5: Solve for x
    x = 17,665,001,645.06/89,762.06
  6. Step 6: Final answer
    x = 196,798.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.